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4 years ago

How can yo order rational numbers from least to greatest

Mathematics

1 answer:

3241004551 [841]4 years ago

4 0

To arrange numbers from least to greatest:

First write them down in decimal form. Now it will be easy to determine which value is greater than the other.

Arrange the decimal numbers from least to greatest.

Finally revert the decimal values to their fraction form having arranged them from one with least value to one with greatest value.

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Answer:

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Step-by-step explanation:

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3 years ago

LetT: P2 → P4be the linear transformationT(p) = 4x2p.Find the matrix A for T relative to the basesB = {1, x, x2}andB' = {1, x, x

ExtremeBDS [4]

Answer: The required matrix A is

$A=\left[\begin{array}{ccc}0&0&0\\0&0&0\\4&0&0\\0&4&0\\0&0&4\end{array}\right]_{5\times3} .$

Step-by-step explanation: We are given the following linear transformation :

$T:P^2\Rightarrow P^4,~~~~~~~~~~~~~T(p)=4x^2p.$

We are to find the matrix A relative to the bases $B=\{1,x,x^2\}$ and $B^\prime=\{1,x,x^2,x^3,x^4\}.$

We have

$T(1)=4x^2\times1=4x^2=0\times1+0\times x+4\times x^2+0\times x^3+0\times x^4,\\\\T(x)=4x^2\times x=4x^3=0\times1+0\times x+0\times x^2+4\times x^3+0\times x^4,\\\\T(x)=4x^2\times x^2=4x^4=0\times1+0\times x+0\times x^2+0\times x^3+4\times x^4.$

Therefore, the matrix A is of order 5 × 3, given by

$A=\left[\begin{array}{ccc}0&0&0\\0&0&0\\4&0&0\\0&4&0\\0&0&4\end{array}\right]_{5\times3} .$

Thus, the required matrix A is

$A=\left[\begin{array}{ccc}0&0&0\\0&0&0\\4&0&0\\0&4&0\\0&0&4\end{array}\right]_{5\times3} .$

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